The X Factor judge Louis Walsh has said he was satisfied to have been vindicated but still "very angry" at the way he had been treated by The Sun.
Speaking outside Dublin High Court, he said he was "absolutely gutted and traumatised that these allegations against me should have been published".
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The Labour leader did not say whether he would maintain Britain's nuclear deterrent programme.
Ukip leader Paul Nuttall also said he would want to get rid of Sharia courts.
Over 40,000 people picked up their packs to take part in the annual marathon in the capital.